Xin Yun, Liu Hongmin
College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, China.
J Inequal Appl. 2018;2018(1):259. doi: 10.1186/s13660-018-1849-x. Epub 2018 Sep 24.
In this paper, we investigate the existence of a positive periodic solution for the following fourth-order -Laplacian generalized neutral differential equation with attractive and repulsive singularities: where has a singularity at the origin. The novelty of the present article is that we show that attractive and repulsive singularities enable the achievement of a new existence criterion of a positive periodic solution through an application of coincidence degree theory. Recent results in the literature are generalized and significantly improved.
在本文中，我们研究如下具有吸引和排斥奇点的四阶 -拉普拉斯广义中立型微分方程正周期解的存在性： 其中 在原点处具有奇点。本文的新颖之处在于，我们通过应用重合度理论表明，吸引和排斥奇点使得能够实现正周期解的一个新的存在性准则。文献中的近期结果得到了推广并显著改进。
